67616640000 has 1760 divisors, whose sum is σ = 315137123840. Its totient is φ = 13934592000.

The previous prime is 67616639977. The next prime is 67616640001. The reversal of 67616640000 is 4661676.

67616640000 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 6 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67616640001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1572479979 + ... + 1572480021.

It is an arithmetic number, because the mean of its divisors is an integer number (179055184).

Almost surely, 2^67616640000 is an apocalyptic number.

67616640000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67616640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157568561920).

67616640000 is an abundant number, since it is smaller than the sum of its proper divisors (247520483840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67616640000 is a wasteful number, since it uses less digits than its factorization.

67616640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 67616640000 in words is "sixty-seven billion, six hundred sixteen million, six hundred forty thousand".